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Anni [7]
3 years ago
6

Find the coordinates of the midpoint between (–2, -4) and (4, –4).

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
6 0

Answer:

Step-by-step explanation:

Using mid point formula

Mid point = ((x1+x2)/2 , (y1+y2)/2)

= (2/2,-8/2)

=( 1, -4)

ZanzabumX [31]3 years ago
6 0

Answer:

The answer for the midpoint is (1,-4)

Step-by-step explanation:

To find the midpoint you can plot the two points on a graph and find the point that is right in the middle. The point right in the middle of the two points will be the midpoint. The midpoint is 3 units to the right of (-2,-4) and 3 units to the left of (4,-4).  

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The boxplots 1 and 2 represent the distribution of data using a five number summary for the male and the female attendance

<h3>(a) The IQR of the male's data</h3>

The first box plot represents the male's boxplot.

So, we have:

  • Upper quartile (Q3) = 14
  • Lower quartile (Q1) = 2

The IQR is the difference between the above values

IQR = Q3 - Q1

So, we have:

IQR = 14 - 2 = 12

So: the IQR for the males' data is 12

<h3>(b) The difference in the median values</h3>

From the first and second boxplots, we have:

  • Median male = 10
  • Median female = 18

The difference (d) between these values is

d = 18 - 10

d = 8

So: the difference between the median values of each data set is 8

<h3>(c) The distribution of data</h3>

This is dependent on whether the dataset has an outlier or not.

From the figure, we have:

  • Male's data: presence of an outlier - use median
  • Female's data: absence of an outlier - use mean

So: the male dataset is measured by median, while the mean is a better measure of center for the female's data

<h3>(d) Reason for outliers</h3>

A possible reason for outliers is sampling problems

Read more about boxplots at:

brainly.com/question/26392028

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━━━━━━━☆☆━━━━━━━

▹ Answer

<em>12/35</em>

▹ Step-by-Step Explanation

\frac{4}{5} * \frac{3}{7} \\\\= \frac{12}{35}

Hope this helps!

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Answer:

$14.77

Step-by-step explanation:

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A null hypothesis is that the mean nose lengths of men and women are the same. The alternative hypothesis is that men have a lon
algol [13]

Answer:

b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.

See explanation below.

Step-by-step explanation:

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different (men have longer mean nose length than women), the system of hypothesis would be:

Null hypothesis:\mu_{men} \leq \mu_{women}

Alternative hypothesis:\mu_{men} > \mu_{women}

Assuming that we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:

z=\frac{\bar X_{men}-\bar X_{women}}{\sqrt{\frac{\sigma^2_{men}}{n_{men}}+\frac{\sigma^2_{women}}{n_{women}}}} (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Let's assume that the calculated statistic is z_{calc}

Since is a right tailed test test the p value would be:

p_v =P(Z>z_{calc})=0.225

And we know that the p value is 0.225. If we select a significance level for example 0.05 or 0.1 we see that p_v >\alpha

And on this case we have enough evidence to FAIl to reject the null hypothesis that the means are equal. So then the best conclusion would be:

b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.

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